Local Well-posedness of Strong Solutions to the Three-dimensional Compressible Primitive Equations
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Local Well-posedness of Strong Solutions to the Three-dimensional Compressible Primitive Equations

  • Author(s): Liu, Xin
  • Titi, Edriss S
  • et al.
Creative Commons 'BY' version 4.0 license
Abstract

This work is devoted to establishing the local-in-time well-posedness of strong solutions to the three-dimensional compressible primitive equations of atmospheric dynamics. It is shown that strong solutions exist, unique, and depend continuously on the initial data, for a short time in two cases: with gravity but without vacuum, and with vacuum but without gravity. We also introduce the free boundary problem for the compressible primitive equations.

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